Charmonium, Upsilon and heavy-flavor spectra and the effective quark-antiquark potential of the dual superconducting model of QCD

Journal Article · Sun Oct 01 04:00:00 EDT 1995 · Bulletin of the American Physical Society

OSTI ID:255461

Fulcher, L P

In a series of papers, Baker, Ball and Zachariasen (BBZ) have derived an effective quark-antiquark potential from the dual QCD Lagrangian by eliminating the gluon fields and the Higgs field in favor of quark position, spin and velocity coordinates. They carry out an expansion in inverse powers of the constituent masses and thus present explicit expressions for the central potential, the spin-dependent potentials and the second-order spin-independent correction to the central potential. Since we consider only spin-averaged energies, we test only the spin-independent parts of the potential. In addition to relativistic potential effects discussed above, relativistic kinematic effects are included by using the spinless Salpeter equation. The Salpeter equation is solved using a recent improvement of the Rayleigh-Ritz-Galerkin method that focuses on analytic expressions for the liner potential, the Coulomb potential and the square of the momentum operator. Appliability of the method to the Yukawa functions of the BBZ potential is established. Numerical results are presented for charmonium, the upsilon system, and the B and D mesons and compared with experiment.

• OSTI ID: 255461
• Report Number(s): CONF-9510116--
• Journal Information: Bulletin of the American Physical Society, Journal Name: Bulletin of the American Physical Society Journal Issue: 10 Vol. 40; ISSN BAPSA6; ISSN 0003-0503
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
CHARMONIUM
QUANTUM CHROMODYNAMICS
QUARK-ANTIQUARK INTERACTIONS
SPIN
VECTOR MESONS